Top down approach to 6D SCFTs

Heckman, Jonathan J.; Rudelius, Tom

doi:10.1088/1751-8121/aafc81

Cited by 139 publications

(260 citation statements)

References 243 publications

(648 reference statements)

Supporting

Mentioning

258

Contrasting

Order By: Relevance

“…Another Swampland‐related program of study is what type of superconformal theories can be constructed in string theory. See [] for an extensive review of this. In some sense this program is somewhat orthogonal to the Swampland because such conformal field theories are engineered precisely in the decoupling limit of gravity, so effectively taking the Calabi‐Yau to be non‐compact.…”

Section: More Swampland Conjecturesmentioning

confidence: 99%

See 1 more Smart Citation

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

898

1,097

View full text Add to dashboard Cite

The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field, assuming only a knowledge of quantum field theory and general relativity. It also forms a comprehensive review, covering the range of ideas that are part of the field, from the Weak Gravity Conjecture, through compactifications of String Theory, to the de Sitter conjecture.

show abstract

Section: More Swampland Conjecturesmentioning

confidence: 99%

“…In some sense this program is somewhat orthogonal to the Swampland because such conformal field theories are engineered precisely in the decoupling limit of gravity, so effectively taking the Calabi‐Yau to be non‐compact. However, it may be that some remnant of the gravitational constraints still manifests …”

Section: More Swampland Conjecturesmentioning

confidence: 99%

The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

898

1,097

View full text Add to dashboard Cite

show abstract

“…Tr ρ F 2 = Ind ρ TrF 2 , (A.8) with x ρ , y ρ , c ρ , and Ind ρ known group theory constants. c ρ here is defined as in Table 1, and throughout this paper the values of x ρ , y ρ , and Ind ρ agree with the conventions of [26,27,29]. 18…”

Section: Discussionmentioning

confidence: 83%

“…See references [27,95,96] for a discussion of Weierstrass models over a base B with more general orbifold singularities. In the case of the Z k group action, we need to ensure that each monomial we retain is invariant under the group action.…”

Section: Geometric Preliminariesmentioning

confidence: 99%

“…While in many cases there is a close match between the flavor symmetries expected from geometric and field theoretic methods, there are notable examples where either the F-theory model only captures a subset of possible flavor symmetries, and conversely, where a "naïve" field theoretic analysis might at first suggest a bigger flavor symmetry than what can actually be realized. Some examples of this sort in F-theory [5] and field theory [34,35] are collected in the review article [27]. For the most part, these examples concentrate on non-abelian global symmetries since these are more straightforward to identify both in geometry and field theory.Though only studied in a few references [36][37][38], global U (1) symmetries in 6D SCFTs are no less important.…”

mentioning

confidence: 99%

See 1 more Smart Citation

General prescription for globalU(1)’s in 6D SCFTs

et al. 2020

Self Cite

View full text Add to dashboard Cite

We present a general prescription for determining the global U (1) symmetries of sixdimensional superconformal field theories (6D SCFTs). We use the quiver-like gauge theory description of the tensor branch to identify candidate U (1) symmetries which can act on generalized matter. The condition that these candidate U (1)'s are free of Adler-Bell-Jackiw (ABJ) anomalies provides bottom-up constraints for U (1)'s. This agrees with the answer obtained from symmetry breaking patterns induced by Higgs branch flows. We provide numerous examples illustrating the details of this proposal. In the F-theory realization of these theories, some of these symmetries originate from deformations of non-abelian flavor symmetries localized on a component of the discriminant, while others come from an additional generator of the Mordell-Weil group. We also provide evidence that some of these global U (1)'s do not arise from gauge symmetries, as would happen in taking a decoupling limit of a model coupled to six-dimensional supergravity.There is a striking interplay between stringy extra-dimensional geometric structures and low energy effective field theories. This is particularly manifest in the context of F-theory compactifications, where intersecting seven-branes are geometrized into elliptically fibered Calabi-Yau spaces [1-3]. A prominent example illustrating the power of such methods is the recent classification of six-dimensional superconformal field theories (6D SCFTs) via Ftheory [4,5] (see also [6,7]). This provides a remarkably flexible approach to constructing 6D SCFTs which encompasses essentially all other methods (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21] for a partial list of older references, references [22][23][24][25][26] for recent holographic examples, and [27] for a review).With these results in place, it is natural to ask what detailed features of 6D SCFTs can be extracted from the associated geometries. One piece of information which is readily available from an F-theory model is the tensor branch of the 6D SCFT moduli space, as this is encoded directly in terms of Kähler deformations of the base of an F-theory model. Additionally, some global symmetries correlate with the appearance of non-compact sevenbranes intersecting the localized region inhabited by a 6D SCFT. This, in tandem with field theoretic techniques, has made it possible to tightly constrain the structure of anomalies in 6D SCFTs [28][29][30][31][32][33].Even so, there are a number of outstanding open issues connected with determining the structure of global symmetries in a 6D SCFT. In what follows we exclusively focus on the case of continuous zero-form symmetries. While in many cases there is a close match between the flavor symmetries expected from geometric and field theoretic methods, there are notable examples where either the F-theory model only captures a subset of possible flavor symmetries, and conversely, where a "naïve" field theoretic analysis might at first suggest a bigger flavor symmetry than what can actually be...

show abstract

The anomaly that was not meant IIB

Debray

Dierigl²,

Heckman

et al. 2021

Fortschritte der Physik

View full text Add to dashboard Cite

Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them, modulo some physically motivated assumptions. Quite surprisingly, we find that they do not vanish, which naively would signal an inconsistency of F-theory. Remarkably, a subtle modification of the standard 10d Chern-Simons term cancels these anomalies, a fact which relies on the specific field content of type IIB supergravity. We also discover other ways to cancel this anomaly, via a topological analog of the Green-Schwarz mechanism. These alternative type IIB theories have the same low energy supergravity limit as ordinary type IIB, but a different spectrum of extended objects. They could either be part of the Swampland, or connect to the standard theory via domain walls.

show abstract

Top down approach to 6D SCFTs

Cited by 139 publications

References 243 publications

The Swampland: Introduction and Review

The Swampland: Introduction and Review

General prescription for globalU(1)’s in 6D SCFTs

The anomaly that was not meant IIB

Contact Info

Product

Resources

About